The Collaborative International Dictionary of English v.0.48:

Branch \Branch\, v. i. [imp. & p. p. Branched; p. pr. & vb. n.
   Branching.]
   1. To shoot or spread in branches; to separate into branches;
      to ramify.
      [1913 Webster]

   2. To divide into separate parts or subdivision.
      [1913 Webster]

   To branch off, to form a branch or a separate part; to
      diverge.

   To branch out, to speak diffusively; to extend one's
      discourse to other topics than the main one; also, to
      enlarge the scope of one's business, etc.
      [1913 Webster]

            To branch out into a long disputation. --Spectator.
      [1913 Webster]